Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87 - Brossura

Libro 43 di 53: Progress in Nonlinear Differential Equations and Their Applications

Santambrogio, Filippo

 
9783319365817: Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87
Brossura
ISBN 10: 3319365819 ISBN 13: 9783319365817
Casa editrice: Birkhäuser, 2016

Sinossi

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Birkhäuser
Data di pubblicazione
2016
Lingua
Inglese
ISBN 10 
3319365819
ISBN 13 
9783319365817
Rilegatura
Copertina flessibile
Numero di pagine
384
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9783319208275: Optimal Transport for Applied Mathematicians: Calculus of Variations, Pdes, and Modeling: 87

Edizione in evidenza

ISBN 10:  3319208276 ISBN 13:  9783319208275
Casa editrice: Birkhauser, 2015
Rilegato